Dynamical Triangulations for 2D Pure Gravity and Topological Recursion
High Energy Physics - Theory
2026-05-21 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We show that, in two-dimensional Euclidean quantum gravity without matter fields, the Schwinger-Dyson equations derived within the Hamiltonian framework of non-critical string field theory can be reformulated in terms of the Chekhov-Eynard-Orantin topological recursion, and we explicitly compute the associated low-order amplitudes. In particular, we establish this reformulation for two discrete models -- the basic type and the strip type -- as well as for the continuum limit of dynamical triangulations.
Cite
@article{arxiv.2509.18916,
title = {Dynamical Triangulations for 2D Pure Gravity and Topological Recursion},
author = {Hiroyuki Fuji and Masahide Manabe and Yoshiyuki Watabiki},
journal= {arXiv preprint arXiv:2509.18916},
year = {2026}
}
Comments
59 pages, 15 figures; v2: an updated version which was accepted to JHEP